Moreover, the vectors \({\alpha }_{(k)} \in {\mathbb {R}}^3\) , \(k\in \Lambda _u\cup \Lambda _B\) , are shifts to ensure that the intermittent flows
\(\lbrace W_{(k)}, D_{(k)}\rbrace \)  have mutually disjoint supports.
The existence of vectors \({\alpha }_{(k)}\) 
is analogous to that of Mikado flows in [1]}, [2]}.
In fact, \(\lbrace W_{(k)}, D_{(k)}\rbrace \)  are \((\mathbb {T}/(\lambda r_{\perp }))^3\) -periodic,
supported on the cuboids with length \(\sim {1}/{\lambda r_{\perp }}\) ,
width \(\sim {r_{\parallel }}/{(\lambda r_{\perp })}\)  and height \(\sim {1}/{\lambda }\) .
Because the width and height are much smaller than the length,
each cuboid can be viewed as a straight line.
As there are only a finite number of wavevectors in \(\Lambda _B\)  and \(\Lambda _u\) ,
one may choose the shifts \(\lbrace {\alpha }_{(k)}\rbrace \)  such that
these straight lines do not intersect.
(See the intermittent flows in Figure 2.)
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